EduSahara™ Worksheet

Question 1

1.

In the given figure, △EFG is right angled at F. If FG = 11 cm and ∠G = 30°, find EF and EG

(i)
11
3

4
√

1
3

cm

&

24

cm
(ii)
11
3

4
√

3

cm

&

24

cm
(iii)
11
3

√

3

cm

&

22
3

√

3

cm
(iv)
11
3

4
√

3

cm

&

22
3

√

3

cm
(v)
11
3

4
√

3

cm

&

22

cm

Question 2

2.

In the given figure, △JKL is right angled at K. If KL = 11 cm and ∠L = 45°, find JK and JL

(i)
12

cm

&

25

cm
(ii)
10

cm

&

25

cm
(iii)
12

cm

&

11

√

2

cm
(iv)
11

cm

&

11

√

2

cm
(v)
12

cm

&

22

cm

Question 3

3.

In the given figure, △ABC is right angled at B. If BC = 10 cm and ∠C = 60°, find AB and AC

(i)
10

4
√

3

cm

&

20

cm
(ii)
10

4
√

3

cm

&

19

cm
(iii)
10

√

3

cm

&

20

cm
(iv)
10

4
√

1
3

cm

&

21

cm
(v)
10

4
√

3

cm

&

21

cm

Question 4

4.

In the given figure, △EGF is right angled at F. If EF = 7 cm and ∠G = 30°, find EG

(i)

14

cm
(ii)

16

cm
(iii)

11

cm
(iv)

13

cm
(v)

15

cm

Question 5

5.

In the given figure, △CED is right angled at D. If CD = 9 cm and ∠E = 30°, find DE

(i)

9

cm
(ii)

9

√

18

cm
(iii)

9

√

3

cm
(iv)

27
2

√

2

cm
(v)

27

cm

Question 6

6.

In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find AD

(i)

2

cm
(ii)

7

cm
(iii)

5

cm
(iv)

4

cm
(v)

3

cm

Question 7

7.

In the given figure, △CED is right angled at D. If CD = 7 cm and ∠E = 30°, find EF

(i)

19
2

cm
(ii)

21

cm
(iii)

21
2

cm
(iv)

23
2

cm
(v)

21
4

cm

Question 8

8.

In the given figure, △EGF is right angled at F. If EF = 15 cm and ∠G = 45°, find EG

(i)

15

√

2

cm
(ii)

15

cm
(iii)

30

√

3

cm
(iv)

30

cm
(v)

15
2

√

12

cm

Question 9

9.

In the given figure, △ACB is right angled at B. If AB = 15 cm and ∠C = 45°, find BC

(i)

16

cm
(ii)

13

cm
(iii)

15

cm
(iv)

14

cm
(v)

18

cm

Question 10

10.

In the given figure, △BDC is right angled at C. If BC = 15 cm and ∠D = 45°, find BE

(i)

15
2

cm
(ii)

15
4

√

12

cm
(iii)

15

cm
(iv)

15
2

√

2

cm
(v)

15

√

3

cm

Question 11

11.

In the given figure, △FHG is right angled at G. If FG = 15 cm and ∠H = 45°, find HI

(i)

15

√

3

cm
(ii)

15
2

√

2

cm
(iii)

15

cm
(iv)

15
4

√

12

cm
(v)

15
2

cm

Question 12

12.

In the given figure, △EGF is right angled at F. If EF = 27 cm and ∠G = 60°, find EG

(i)

54

cm
(ii)

18

√

18

cm
(iii)

18

cm
(iv)

27

√

2

cm
(v)

18

√

3

cm

Question 13

13.

In the given figure, △EGF is right angled at F. If EF = 25 cm and ∠G = 60°, find FG

(i)

25

cm
(ii)

25
2

√

2

cm
(iii)

25
3

√

3

cm
(iv)

25
3

√

18

cm
(v)

25
3

cm

Question 14

14.

In the given figure, △BDC is right angled at C. If BC = 27 cm and ∠D = 60°, find BE

(i)

27
2

cm
(ii)

81
4

√

2

cm
(iii)

27
2

√

18

cm
(iv)

27
2

√

3

cm
(v)

81
2

cm

Question 15

15.

In the given figure, △FHG is right angled at G. If FG = 24 cm and ∠H = 60°, find HI

(i)

4

cm
(ii)

4

√

18

cm
(iii)

12

cm
(iv)

4

√

3

cm
(v)

6

√

2

cm

Question 16

16.

A chord of 14 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

8.0 cm
(ii)

6.0 cm
(iii)

9.0 cm
(iv)

5.0 cm
(v)

7.0 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 9 cm. Find the length of its sides.

(i)

27

cm
(ii)

9

√

3

cm
(iii)

9

cm
(iv)

9

√

18

cm
(v)

27
2

√

2

cm

Question 18

18.

In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 16 cm. S is the mid-point of AC. Find SC

(i)

8
3

cm
(ii)

8
3

√

3

cm
(iii)

4

√

2

cm
(iv)

8

cm
(v)

8
3

√

18

cm

Question 19

19.

In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 17 cm. S is the mid-point of GI. Find ∠SHI using tables.

(i)

14 ° 6 '
(ii)

13 ° 6 '
(iii)

16 ° 6 '
(iv)

19 ° 6 '
(v)

18 ° 6 '

Question 20

20.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 15 cm. T is the mid-point of CE. Find the length of the altitude from E to CD.

(i)

29
4

cm
(ii)

15
2

cm
(iii)

13
2

cm
(iv)

17
2

cm
(v)

8

cm

Question 21

21.

In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 15 cm. S is the mid-point of EG. Find ∠SFE using tables.

(i)

13 ° 54 '
(ii)

11 ° 54 '
(iii)

16 ° 54 '
(iv)

15 ° 54 '
(v)

10 ° 54 '

Question 22

22.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 13 cm. R is the mid-point of FH. Find RH

(i)

7

cm
(ii)

11
2

cm
(iii)

25
4

cm
(iv)

15
2

cm
(v)

13
2

cm

Question 23

23.

In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 17 cm. T is the mid-point of EG. Find ∠TFG using tables.

(i)

28 ° 34 '
(ii)

26 ° 34 '
(iii)

24 ° 34 '
(iv)

23 ° 34 '
(v)

29 ° 34 '

Question 24

24.

In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 15 cm. T is the mid-point of JL. Find the length of the altitude from L to JK.

(i)

15

√

3

cm
(ii)

15

cm
(iii)

15
2

cm
(iv)

15
2

√

2

cm
(v)

15
4

√

12

cm

Question 25

25.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 16 cm. R is the mid-point of CE. Find ∠RDC using tables.

(i)

20 ° 26 '
(ii)

16 ° 26 '
(iii)

15 ° 26 '
(iv)

21 ° 26 '
(v)

18 ° 26 '

Question 26

26.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 17 cm. R is the mid-point of CE. Find RE

(i)

51
4

√

2

cm
(ii)

17
2

cm
(iii)

51
2

cm
(iv)

17
2

√

18

cm
(v)

17
2

√

3

cm

Question 27

27.

In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 17 cm. T is the mid-point of GI. Find ∠THI using tables.

(i)

42 ° 53 '
(ii)

43 ° 53 '
(iii)

40 ° 53 '
(iv)

38 ° 53 '
(v)

37 ° 53 '

Question 28

28.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 13 cm. Q is the mid-point of CE. Find the length of the altitude from E to CD.